Percentage
A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.
Algebraic Expressions
In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.
Numbers
Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.
Subtraction
Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.
Addition
Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.
![**Question:**
What quadrant does -1562° belong to?
---
### Explanation:
To determine the quadrant in which -1562° lies, we first need to convert this angle to its equivalent positive angle between 0° and 360°.
1. **Convert to a Positive Angle:**
Since -1562° is a negative angle, we add 360° repeatedly until we get a positive angle:
\[
-1562° + 360° = -1202°
\]
\[
-1202° + 360° = -842°
\]
\[
-842° + 360° = -482°
\]
\[
-482° + 360° = -122°
\]
\[
-122° + 360° = 238°
\]
2. **Determine the Quadrant:**
We now see that the equivalent angle is 238°. To find which quadrant this angle is in, note the following ranges for each quadrant:
- Quadrant I: 0° to 90°
- Quadrant II: 90° to 180°
- Quadrant III: 180° to 270°
- Quadrant IV: 270° to 360°
Since 238° falls into the range of 180° to 270°, we conclude that -1562° lies in **Quadrant III**.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F142e1ae3-c931-47e5-a8d0-830705d30c68%2Fc0d7d7d7-aff7-4f4e-a4d0-350d789c26dd%2Fmqgrsqj_processed.jpeg&w=3840&q=75)
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
